Given below are two statements : Statement I : H _2 O molecules...

For Statement I:
Molarity of the solution in Chamber 1 ($M_1$) = $\dfrac{18 / 180}{100 / 1000} = 1$ M
Molarity of the solution in Chamber 2 ($M_2$) = $\dfrac{30 / 180}{250 / 1000} = \dfrac{1/6}{1/4} = 0.667$ M
Since $M_1 > M_2$, the solution in Chamber 1 has a higher solute concentration. During osmosis, the solvent (water) moves from the region of lower solute concentration to the region of higher solute concentration across a semi-permeable membrane. Thus, water will move from Chamber 2 to Chamber 1. Statement I is false.

For Statement II:
The osmotic pressure is given by $\pi = iCRT$
For $K_2SO_4$, assuming complete dissociation ($K_2SO_4 \rightarrow 2K^+ + SO_4^{2-}$), the van't Hoff factor $i = 3$.
Concentration $C = \dfrac{50 \times 10^{-3}}{174 \times 2}$ mol/L
$\pi = 3 \times \left( \dfrac{50 \times 10^{-3}}{174 \times 2} \right) \times 0.083 \times 300$
$\pi = \dfrac{3 \times 0.05 \times 24.9}{348} = \dfrac{3.735}{348} \approx 0.0107$ bar
Statement II is true.

Therefore, Statement I is false but Statement II is true.

Answer: Statement I is false but Statement II is true